Search a number
-
+
27234720 = 2532518913
BaseRepresentation
bin110011111100…
…1000110100000
31220020200000100
41213321012200
523433002340
62411422400
7450330342
oct147710640
956220010
1027234720
1114411937
129154a00
135847426
14388d292
1525ce830
hex19f91a0

27234720 has 72 divisors (see below), whose sum is σ = 92943396. Its totient is φ = 7262208.

The previous prime is 27234719. The next prime is 27234721. The reversal of 27234720 is 2743272.

It is an interprime number because it is at equal distance from previous prime (27234719) and next prime (27234721).

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 1468944 = 5076^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (27234721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8017 + ... + 10896.

Almost surely, 227234720 is an apocalyptic number.

27234720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27234720 is an abundant number, since it is smaller than the sum of its proper divisors (65708676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27234720 is a wasteful number, since it uses less digits than its factorization.

27234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18934 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 27234720 is about 5218.6894906672. The cubic root of 27234720 is about 300.8668262949.

Adding to 27234720 its reverse (2743272), we get a palindrome (29977992).

The spelling of 27234720 in words is "twenty-seven million, two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 18913 37826 56739 75652 94565 113478 151304 170217 189130 226956 283695 302608 340434 378260 453912 567390 605216 680868 756520 851085 907824 1134780 1361736 1513040 1702170 1815648 2269560 2723472 3026080 3404340 4539120 5446944 6808680 9078240 13617360 27234720